Finite Group Databasebeta

?

← Prev (#16843182) Next (#16843184) →

C₃₁×#3250 #16843183

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

360 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 55 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31)(33,36)(34,38)(40,41)(42,49)(43,47)(44,46)(45,50)(48,52)(51,53)(54,55);(32,33)(34,37)(35,36)(38,39)(40,42)(41,45)(43,50)(44,51)(46,54)(47,49)(48,53)(52,55);(33,36)(37,39)(41,46)(42,50)(44,52)(45,53)(47,48)(49,54);(32,34,35,38)(33,37,36,39)(41,47)(45,49)(46,48)(53,54)

Conjugacy classes & character table

992 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1982);